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A194900 Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194899; an interspersion. 4
1, 2, 3, 5, 6, 4, 8, 10, 7, 9, 13, 15, 12, 14, 11, 18, 21, 17, 20, 16, 19, 25, 28, 24, 27, 23, 26, 22, 32, 36, 31, 35, 30, 34, 29, 33, 41, 45, 40, 44, 39, 43, 38, 42, 37, 50, 55, 49, 54, 48, 53, 47, 52, 46, 51, 61, 66, 60, 65, 59, 64, 58, 63, 57, 62, 56, 72, 78, 71 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194832 for a general discussion.

LINKS

Table of n, a(n) for n=1..69.

EXAMPLE

Northwest corner:

1...2...5...8...13..18

3...6...10..15..21..28

4...7...12..17..24..31

9...14..20..27..35..44

11..16..23..30..39..48

MATHEMATICA

r = Sqrt[12];

t[n_] := Table[FractionalPart[k*r], {k, 1, n}];

f = Flatten[Table[Flatten[(Position[t[n], #1] &) /@

Sort[t[n], Less]], {n, 1, 20}]] (* A194899 *)

TableForm[Table[Flatten[(Position[t[n], #1] &) /@

Sort[t[n], Less]], {n, 1, 15}]]

row[n_] := Position[f, n];

u = TableForm[Table[row[n], {n, 1, 20}]]

g[n_, k_] := Part[row[n], k];

p = Flatten[Table[g[k, n - k + 1], {n, 1, 15},

{k, 1, n}]] (* A194900 *)

q[n_] := Position[p, n]; Flatten[Table[q[n],

{n, 1, 90}]] (* A194901 *)

CROSSREFS

Cf. A194832, A194899, A194901.

Sequence in context: A195108 A054077 A194872 * A194051 A195610 A082654

Adjacent sequences:  A194897 A194898 A194899 * A194901 A194902 A194903

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 05 2011

STATUS

approved

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Last modified February 17 12:32 EST 2020. Contains 331996 sequences. (Running on oeis4.)